Flow around circular cylinders. Vol. 1.

*(English)*Zbl 0882.76004
Oxford: Oxford Univ. Press. xviii, 672 p. (1997).

In this comprehensive book the author gives a survey of flow phenomena around circular cylinders. There are two volumes, and here the first volume is reviewed. This book is recommended of scientists and academics who are working in the field of civil, nuclear, hydraulic and mechanical engineering.

In the first chapter a description of flow around two-dimensional cylinders across the whole range of Reynolds numbers Re is presented. After a short introduction, steady laminar wake flows are discussed particularly with regard to the drag and the development of separation. The presentation of the periodic laminar regime starts with the instability of the steady near wake and ends with the discussion of the development of a von Kármán vortex street. When Re increases, the structure of the periodic wake becomes three-dimensional. The important characteristic equation relates the Reynold number to the dimensionless frequency, the Strouhal number. Finally, the author describes in this chapter the transition-in-wake state, the transition-in-the-shear-layers state, and the transition-in-the-boundary-layers state.

The second chapter deals with various theoretical models. It begins with the Hele-Shaw flow and the Oseen flow, and then numerical simulations are presented where the streamfunction and the vorticity function are employed. Steady flows are computed up to Re=40, and the results are compared with experiments. The next model uses the boundary layer approximation. Here the results are obtained by integral methods similar to that by von Kármán and Pohlhausen. Also Kirchhoff’s method is described, starting from a conformal transformation of the free streamline theory. Several problems and various extensions, in particular vortex models, are discussed. Probably the most successful Sarpkaya discrete vortex model is presented, which incorporates the unsteady boundary layer approach, an analytic determination of the time-dependent position of the separation point, and an empirical model of the vortex dissipation.

In the last chapter real flow effects like free stream turbulence or other nonuniformities of the free stream are reviewed. In most practical applications the free stream is usually turbulent, but if one has to deal with e.g. atmospheric boundary layers, a shear velocity profile leads to a nonuniform wind distribution. Also compressibility effects and heat transfer problems are discussed, together with the influence of Mach number and of Nusselt number, respectively. At last, the influence of aerodynamic sound on flow around circular cylinder is described.

This book provides an excellent overview of problems concerning the flow around circular cylinders. A huge amount of citations gives the reader the possibility to understand in detail the topics treated in this volume. The material would appeal to any researcher working in the field of predicting flows around bluff bodies with circular cross-section.

In the first chapter a description of flow around two-dimensional cylinders across the whole range of Reynolds numbers Re is presented. After a short introduction, steady laminar wake flows are discussed particularly with regard to the drag and the development of separation. The presentation of the periodic laminar regime starts with the instability of the steady near wake and ends with the discussion of the development of a von Kármán vortex street. When Re increases, the structure of the periodic wake becomes three-dimensional. The important characteristic equation relates the Reynold number to the dimensionless frequency, the Strouhal number. Finally, the author describes in this chapter the transition-in-wake state, the transition-in-the-shear-layers state, and the transition-in-the-boundary-layers state.

The second chapter deals with various theoretical models. It begins with the Hele-Shaw flow and the Oseen flow, and then numerical simulations are presented where the streamfunction and the vorticity function are employed. Steady flows are computed up to Re=40, and the results are compared with experiments. The next model uses the boundary layer approximation. Here the results are obtained by integral methods similar to that by von Kármán and Pohlhausen. Also Kirchhoff’s method is described, starting from a conformal transformation of the free streamline theory. Several problems and various extensions, in particular vortex models, are discussed. Probably the most successful Sarpkaya discrete vortex model is presented, which incorporates the unsteady boundary layer approach, an analytic determination of the time-dependent position of the separation point, and an empirical model of the vortex dissipation.

In the last chapter real flow effects like free stream turbulence or other nonuniformities of the free stream are reviewed. In most practical applications the free stream is usually turbulent, but if one has to deal with e.g. atmospheric boundary layers, a shear velocity profile leads to a nonuniform wind distribution. Also compressibility effects and heat transfer problems are discussed, together with the influence of Mach number and of Nusselt number, respectively. At last, the influence of aerodynamic sound on flow around circular cylinder is described.

This book provides an excellent overview of problems concerning the flow around circular cylinders. A huge amount of citations gives the reader the possibility to understand in detail the topics treated in this volume. The material would appeal to any researcher working in the field of predicting flows around bluff bodies with circular cross-section.

Reviewer: I.Teipel (Hannover)

##### MSC:

76-02 | Research exposition (monographs, survey articles) pertaining to fluid mechanics |

76Dxx | Incompressible viscous fluids |